. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. THE FIGURES OF EQUILIBRIUM OF A LIQUID MASS 281 Jiff. 36. JiS. 37 would detain us too long to describe, and in consequence of which the system tends towards the form represented at Fig. 36, where the two faces abc and ah'c are each occupied by a phme fihn. This form is completely attained at the moment when the inferior summit of the frame emerges from the liquid, but a change speedily occurs, and the system takes the form of Fig. 'Z'o. Alt


. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. THE FIGURES OF EQUILIBRIUM OF A LIQUID MASS 281 Jiff. 36. JiS. 37 would detain us too long to describe, and in consequence of which the system tends towards the form represented at Fig. 36, where the two faces abc and ah'c are each occupied by a phme fihn. This form is completely attained at the moment when the inferior summit of the frame emerges from the liquid, but a change speedily occurs, and the system takes the form of Fig. 'Z'o. Although this change is very rapid, we may yet, by proper , attention and by repetition of the experiment, observe how it ^ is produced : the two films which occupied (Fig. 36) the fjicea ahc and a'h'c rise towards the interior of the frame by turning around the solid edges ah and ah', and at the same time there is developed from the inferior summit a quadrilateral, at first " very small, but which increases until its superior summit at- tains the centre of the frame, and which then constitutes the inferior quad- rilateral of the definitive system; at the same time the summits y and g of the curvilinear quadrilateral sfgc ascend by a certain quantity, this quadrilat- eral shrinks, its edges become straight, and it finally forms the superior quad- rilateral of the same definitive system. Fig. 37 represents the phenomenon in course of formation, at the moment when the quadrilateral, which is extending, has acquired half of its ulti- mate height. It will be easily conceived from this drawing how the four other quadrilaterals of Fig. 26 are generated. In order that all these phenomena should, with almost entire certainty, be produced, it is necessary that the frame should be withdrawn quite vertically; it is further necessary that this frame should be well constructed, that the iron wires which compose it should be of the least possible thickness, and, above all, that at the summ


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